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Finding the Third Proportional to 33,415 and 68,948

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Solution

The third proportional to 33,415 and 68,948 is: 142,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415 : 68,948 = 68,948 : x
  2. Step 2: Convert to fraction form
    33,415/68,948 = 68,948/x
  3. Step 3: Cross multiply
    33,415x = 68,948 × 68,948
  4. Step 4: Simplify right side
    33,415x = 4,753,826,704
  5. Step 5: Solve for x
    x = 4,753,826,704/33,415
  6. Step 6: Final answer
    x = 142,266.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.